{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import datasets, decomposition, manifold"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# KPCA 是核化PCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 使用sklearn自带的鸢尾花分类数据\n",
    "def load_data():\n",
    "    iris = datasets.load_iris()\n",
    "    return iris.data,iris.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def test_KPCA(*data):\n",
    "    x,y = data\n",
    "    kernels = ['linear','poly','rbf','sigmoid']\n",
    "    for kernel in kernels:\n",
    "        kpca = decomposition.KernelPCA(kernel=kernel)\n",
    "        kpca.fit(x)\n",
    "        # 显示核化矩阵的特征值λ\n",
    "        print('kernel :{0}, lambdas:{1}'.format(kernel, kpca.lambdas_))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 不同核的不同图像\n",
    "def plot_KPCA(*data):\n",
    "    x,y = data\n",
    "    kernels = ['linear','poly','rbf','sigmoid']\n",
    "    colors=((1,0,0),(0,1,0),(0,0,1),(0.5,0.5,0),(0,0.5,0.5),(0.5,0,0.5),(0.4,0.6,0),(0.6,0.4,0),(0,0.6,0.4),(0.5,0.3,0.2),)\n",
    "    fig = plt.figure()\n",
    "    fig.set_figheight(10)\n",
    "    fig.set_figwidth(10)\n",
    "    for i,kernel in enumerate(kernels):\n",
    "        kpca = decomposition.KernelPCA(n_components=2,kernel=kernel)\n",
    "        kpca.fit(x)\n",
    "        x_r = kpca.transform(x)\n",
    "        ax = fig.add_subplot(2,2,i+1)\n",
    "        for label,color in zip(np.unique(y),colors):\n",
    "            position =y==label\n",
    "            ax.scatter(x_r[position,0],x_r[position,1],label='target={0}'.format(label),color=color)\n",
    "    \n",
    "        ax.set_xlabel('X[0]')\n",
    "        ax.set_ylabel('Y[1]')\n",
    "        ax.legend(loc='best')\n",
    "        ax.set_title('Kernel ={0}'.format(kernel))\n",
    "    plt.suptitle('KPCA')   \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 测试\n",
    "x,y = load_data()\n",
    "plot_KPCA(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 多项式核poly 参数的影响\n",
    "def plot_KPCA_poly(*data):\n",
    "    x,y = data\n",
    "    colors=((1,0,0),(0,1,0),(0,0,1),(0.5,0.5,0),(0,0.5,0.5),(0.5,0,0.5),(0.4,0.6,0),(0.6,0.4,0),(0,0.6,0.4),(0.5,0.3,0.2),)\n",
    "    params = ((3,1,1),(3,10,1),(3,1,10),(3,10,10),(10,1,1),(10,10,1),(10,1,10),(10,10,10))\n",
    "    \n",
    "    fig = plt.figure()\n",
    "    fig.set_figheight(10)\n",
    "    fig.set_figwidth(20)\n",
    "    \n",
    "    for i,(p,gamma,r) in enumerate(params):\n",
    "        kpca = decomposition.KernelPCA(n_components=2,kernel='poly',gamma=gamma,degree=p,coef0=r)\n",
    "        kpca.fit(x)\n",
    "        x_r = kpca.transform(x)\n",
    "        ax = fig.add_subplot(2,4,i+1)\n",
    "        for label,color in zip(np.unique(y),colors):\n",
    "            position =y==label\n",
    "            ax.scatter(x_r[position,0],x_r[position,1],label='target={0}'.format(label),color=color)\n",
    "    \n",
    "        ax.set_xlabel('X1')\n",
    "        ax.set_ylabel('X2')\n",
    "        ax.set_xticks([])\n",
    "        ax.set_yticks([])\n",
    "        ax.legend(loc='best')\n",
    "        ax.set_title(r'$(%s (x \\cdot z+1)+%s)^{%s}$'%(gamma,r,p))\n",
    "    plt.suptitle('KPCA-poly')   \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1440x720 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 测试\n",
    "x,y = load_data()\n",
    "plot_KPCA_poly(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 高斯核rdf 参数的影响\n",
    "def plot_KPCA_rdf(*data):\n",
    "    x,y = data\n",
    "    colors=((1,0,0),(0,1,0),(0,0,1),(0.5,0.5,0),(0,0.5,0.5),(0.5,0,0.5),(0.4,0.6,0),(0.6,0.4,0),(0,0.6,0.4),(0.5,0.3,0.2),)\n",
    "    gammas = (0.5,1,4,10)\n",
    "    \n",
    "    fig = plt.figure()\n",
    "    fig.set_figheight(15)\n",
    "    fig.set_figwidth(15)\n",
    "    \n",
    "    for i,gamma in enumerate(gammas):\n",
    "        kpca = decomposition.KernelPCA(n_components=2,kernel='rbf',gamma=gamma)\n",
    "        kpca.fit(x)\n",
    "        x_r = kpca.transform(x)\n",
    "        ax = fig.add_subplot(2,2,i+1)\n",
    "        for label,color in zip(np.unique(y),colors):\n",
    "            position =y==label\n",
    "            ax.scatter(x_r[position,0],x_r[position,1],label='target={0}'.format(label),color=color)\n",
    "    \n",
    "        ax.set_xlabel('X1')\n",
    "        ax.set_ylabel('X2')\n",
    "        ax.legend(loc='best')\n",
    "        ax.set_title(r'$\\exp(-%s||x-z||^2)$'%gamma)\n",
    "    plt.suptitle('KPCA-rbf')   \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 测试\n",
    "x,y = load_data()\n",
    "plot_KPCA_rdf(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 跃迁核SIGMOD 参数的影响\n",
    "def plot_KPCA_sigmoid(*data):\n",
    "    x,y = data\n",
    "    colors=((1,0,0),(0,1,0),(0,0,1),(0.5,0.5,0),(0,0.5,0.5),(0.5,0,0.5),(0.4,0.6,0),(0.6,0.4,0),(0,0.6,0.4),(0.5,0.3,0.2),)\n",
    "    params = ((0.01,0.1),(0.01,0.2),(0.1,0.1),(0.1,0.2),(0.2,0.1),(0.2,0.2))\n",
    "    \n",
    "    fig = plt.figure()\n",
    "    fig.set_figheight(10)\n",
    "    fig.set_figwidth(20)\n",
    "    \n",
    "    for i,(gamma,r) in enumerate(params):\n",
    "        kpca = decomposition.KernelPCA(n_components=2,kernel='sigmoid',gamma=gamma,coef0=r)\n",
    "        kpca.fit(x)\n",
    "        x_r = kpca.transform(x)\n",
    "        ax = fig.add_subplot(2,3,i+1)\n",
    "        for label,color in zip(np.unique(y),colors):\n",
    "            position =y==label\n",
    "            ax.scatter(x_r[position,0],x_r[position,1],label='target={0}'.format(label),color=color)\n",
    "    \n",
    "        ax.set_xlabel('X1')\n",
    "        ax.set_ylabel('X2')\n",
    "        ax.set_xticks([])\n",
    "        ax.set_yticks([])\n",
    "        ax.legend(loc='best')\n",
    "        ax.set_title(r'$(\\tanh(%s(x\\cdot z)+%s)$'%(gamma,r))\n",
    "    plt.suptitle('KPCA-sigmoid')   \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 测试\n",
    "x,y = load_data()\n",
    "plot_KPCA_sigmoid(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
